Suppose Max comes to you with a sealed but clear container consisting of two separate chambers with two visible certified thermometers mounted on the sides of the two chambers. Thermometer one reads 100 degrees and Thermometer 2 reads 10 degrees. Max tells you that the temperature differential you see is the result of tiny invisible demon that controls a microscopic door between the two chambers. As individual gas molecules approach the door, the demon quickly opens and shuts the door so that only fast molecules are passed into chamber one, while only slow molecules are passed into chamber two.
Your mission if you choose to accept it is to devise a way to objectively verify the demon’s design influence on the contents of the container?
As always when it comes to riddles like this there are few ground rules.
1) you may examine the container and it’s contents in any way you like as long as you don’t violate it’s physical integrity because that will let the demon escape and ruin the closed nature of the system.
2) The demon is invisible so efforts to view him directly won’t work
3) You may examine the thermometers to verify that they are functioning correctly or replace them with ones of your choosing if you like.
I don’t want to spoil the fun by sharing my proposed method for detecting the demon’s design until I hear some of your ideas.
What do you say is objective design detection possible in this case?
peace



